Smooth counterexamples to strong unique continuation for a Beltrami system in C

نویسندگان

  • Adam Coffman
  • Yifei Pan
چکیده

We construct an example of a smooth map C → C which vanishes to infinite order at the origin, and such that the ratio of the norm of the z̄ derivative to the norm of the z derivative also vanishes to infinite order. This gives a counterexample to strong unique continuation for a vector valued analogue of the Beltrami equation.

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تاریخ انتشار 2012